Hmmm, wonder what the prefix means. Cornish is basically 'south Welsh', I'd have thought their surnames would have been Ap-this or Ap-that in the original. Perhaps Tre/Tra is a specific local variation?

seriously though some gaelic names were anglicised in very unsual ways.

Armstrong being one that comes to mind. Its probably unlikely but it may be that your name is one of those or not Cornish at all.

ARMSTRONG
This surname originates in the area along the western Scottish borders; the first recorded bearer was Adam Armstrong, pardoned in Carlisle in 1235 for causing another man’s death. They were among the most notorious of the riding Border clans, who also included the Elliots, the Grahams and the Johnstons, famous for their lawlessness and plunder. When the power of these clans was savagely broken after 1603 by James 1, the Armstrongs scattered, and many migrated to Ulster, where a large number settled in Co Fermanagh. Even today, Fermanagh is home to the largest concentration of Armstrong families in Ireland, although the name is quite common throughout Ulster, particularly in counties Antrim and Tyrone. As well as those of Scottish origin, however, a good number of Irish Armstrongs are of Gaelic Irish extraction. Many of the Trin-Laverys of Co Antrim and the Trainors of counties Tyrone and Monaghan had their surnames mis-translated as Armstrong, from the presence of the Irish for ‘strong’, trean, in their original names.

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